At the least, connect with them on linkedin. Those will come very handy when you're actually looking.
[me: I run http://InterviewKickstart.com in NorCal. It's very common to be heavily recruited by first-party tech firms over here, both big and small]
Do you have a skill with a short lifespan, or is it a more grounded skill that will last forever? If it's a short lifetime, take the cash, if not, optimize for quality of life and stability.
What area is this skill in?
As long as it's not overly hot like machine learning, talk to your suitors. If you think you'll get a durable increase in quality of life/freedom/stability then consider a move.
I would call stability being able to say "Yes, this company and my job are likely to be here 10 years from now.", even if you don't intend to stay for 10 years. Try not to pull an icarus